Mathlib Map

Theorems · Theorem · category theory

CategoryTheory.Retract.hasInjectiveDimensionLT

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Abelian C] {X Y : C}
  (h : CategoryTheory.Retract X Y) (n : ℕ) [CategoryTheory.HasInjectiveDimensionLT Y n],
  CategoryTheory.HasInjectiveDimensionLT X n
Defined in
Mathlib.CategoryTheory.Abelian.Injective.Dimension
Cited by
2 results in Mathlib
Foundations
Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.AbelianCategoryTheory.HasInjectiveDimensionLT
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.hasInjectiveDimensionLT_of_iso · cited by 1CategoryTheory.hasInjecti…CategoryTheory.Retract.injectiveDimension_le · cited by 0Retract.injectiveDimensio…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.Homadd_zero · cited by 2707add_zeroCategoryTheory.Abelian · cited by 1753CategoryTheory.AbelianCategoryTheory.HasExt · cited by 218CategoryTheory.HasExtCategoryTheory.Abelian.Ext · cited by 191Abelian.ExtCategoryTheory.Abelian.Ext.mk₀ · cited by 94Ext.mk₀CategoryTheory.Abelian.Ext.comp · cited by 80Ext.compCategoryTheory.Retract.r · cited by 34Retract.rCategoryTheory.Retract · cited by 34CategoryTheory.RetractCategoryTheory.Retract.i · cited by 34Retract.iCategoryTheory.HasInjectiveDimensionLT · cited by 23CategoryTheory.HasInjecti…CategoryTheory.HasExt.standard · cited by 22HasExt.standardCategoryTheory.Abelian.Ext.mk₀_comp_mk₀ · cited by 10Ext.mk₀_comp_mk₀CategoryTheory.Abelian.Ext.zero_comp · cited by 10Ext.zero_compRetract.hasInjectiveDimension…CITED BYCITES

Cites20

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.